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GCF of 921/812, 598/256

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 921/812, 598/256 i.e 1/51968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/812, 598/256.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 921/812,598/256?

Given fractions are 921/812,598/256

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 921/812,598/256, numerators are 921,598

Denominators are 812,256

The GCF of 921,598 is 1 .

LCM of 812,256 is 51968.

The greatest common factor of 921/812,598/256 = [GCF of 921,598]/[LCM of 812,256]= 1/51968

Therefore, the GCF of 921/812,598/256 is 1/51968.

Greatest Common Factor of 921,598

To find the highest common factor of 921,598, we have to find the factors of both numbers and list the highest common factor.

The factors of 921 are 1, 3, 307, 921

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The HCF of 921,598 is 1.

Lets's calculate GCF of 921,598

Greatest Common Factor (GCF) of 921,598 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 921,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,598 By Matching Biggest Common Factor Method

Now, list down the factors of 921

:

1,3,307,921

Now, list down the factors of 598

:

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 921,598 . The biggest common factor number is the GCF number.
So the greatest common factor 921,598 is 1.

Lets's calculate LCM of 812,256

Lowest Common Multiple of 812,256 using Common Division

2 812, 256
2 406, 128
203, 64

∴ So the LCM of the given numbers is 2 x 2 x 203 x 64 = 51968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51968

Therefore, the GCF of Fractions 921/812,598/256 is 1/51968

Least Common Multiple of 812,256 with GCF Formula

Least Common Multiple of 812,256 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 812,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,256) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(812,256) x common factors =4 x 1 = 4

LCM(812,256) = ( 812 × 256 ) / 4

LCM(812,256) = 207872 / 4

LCM(812,256) = 51968


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FAQs on GCF of Fractions of 921/812, 598/256

1. What is the HCF of 921,598?

The HCF of 921,598 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 921/812, 598/256?

Answer: GCF of Numerators as per given numbers 921/812, 598/256 is

GCF of Numerators i.e. for 921,598 is 1

LCM of denominators i.e. for 812,256 is 51968.

Thus, GCF of Fractions is 1/51968.Finally, GCF of Fractions for 921/812, 598/256 is 1/51968.